Answer:
Each book costs 26 dollars
Step-by-step explanation:
Let b be the price of each book
8*b +17 = 225
Subtract 17 from each side
8b+17-17 = 225-17
8b =208
Divide by 8
8b/8 = 208/8
b =26
Each book costs 26 dollars
The quotient of 45 and 4 2/5? What is the expression for that ?
Answer:
Expression: [tex]45[/tex] ÷ [tex]4\frac{2}{5}[/tex]
Answer: 45 ÷ [tex]4\frac{2}{5}[/tex] = [tex]\frac{225}{22}[/tex]
A segment in the complex plane has a midpoint at -1 + 7i. If one endpoint of the segment is at 3 + 8i, what is the other endpoint?
The other endpoint
Answer: -5 , 6i
Answer: mark me brainliest please!!
1. -3+(-1)i
2. -7.5+2.5i
3. -5+6i
4. -7+1i
Step-by-step explanation:
edge
Find the average rate of change for the given function from x = 1 to x = 2
Answer:
2
Step-by-step explanation:
Average Rate of Change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Step 1: Define variables
f(b) = 5
f(a) = 3
b = 2
a = 1
Step 2: Plug into formula
(5 - 3)/(2 - 1)
2/1
2
If you divide 3/4 by 4/7 what is the answer in fraction form?
Steven Kellogg, a machine operator, works at an hourly rate of $10.60 and
earns time and a half if he works any overtime. Given this, last week he
worked 37 hours plus 8 hours overtime. What is his straight-time pay? What
is his overtime pay? What is his total pay?
Answer:
[tex]Straight\ Time\ Pay = \$392.2[/tex]
[tex]Overtime\ Pay = \$42.4[/tex]
[tex]Total = \$434.6[/tex]
Step-by-step explanation:
Given
Hourly Rate = $10.60
Overtime = half hourly rate
Hours worked = 37 hours
Overtime = 8 hours
Calculating the Straight Time Pay
[tex]Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked[/tex]
[tex]Straight\ Time\ Pay = 37 * \$10.60[/tex]
[tex]Straight\ Time\ Pay = \$392.2[/tex]
Calculating the Overtime Pay
[tex]Overtime\ Pay = Overtime\ Rate * Overtime\ Hours[/tex]
Since, overtime rate is half of hourly rate; we have
[tex]Overtime\ Pay = \frac{\$10.6}{2} * 8[/tex]
[tex]Overtime\ Pay = \$5.3 * 8[/tex]
[tex]Overtime\ Pay = \$42.4[/tex]
Calculating Total Pay
This is calculated by adding results in (i) and (ii)
[tex]Total = Straight\ Time + Overtime[/tex]
[tex]Total = \$392.2 + \$42.4[/tex]
[tex]Total = \$434.6[/tex]
What are ALL the factors of 15
a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation?
The Range Rule of Thumb is a simple method to estimate the standard deviation based on the range of a dataset.
It states that approximately 68% of the data lies within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.
In terms of underestimating or overestimating the actual standard deviation, the Range Rule of Thumb tends to underestimate the true standard deviation. This is because the rule assumes a uniform distribution of data within each standard deviation, which is not always the case in real-world datasets. In reality, data distributions can be skewed or have outliers, which the Range Rule of Thumb does not consider.
As a result, relying solely on the Range Rule of Thumb for estimating the standard deviation may lead to inaccuracies, especially in datasets with non-uniform distributions or significant outliers. More robust methods, such as the sample variance and standard deviation formulas, are preferred for accurate estimation.
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18.2x^3 + 4x^2 + 2x
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B. This polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
C. This polynomial could be factored only by using the perfect squares method.
D. This polynomial could be factored by using grouping or the perfect squares methods.
E. This polynomial could be factored only by using the difference of squares method.
F. This polynomial cannot be factored by any of the methods used in this lesson.
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3 + 4x^2 + 2x
First factor out the GCF
2x ( x^2 + 2x +1)
Then factor the inside by either using grouping or recognizing that this is a perfect square a^2 + 2ab + b^2 = ( a+b) ^2
2x ( x^2 + 2 * x * 1 + 1^2)
2x ( x+1) ^2
Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3+4x^2+2x
factor common term 2x
= 2x (x² + 2x + 1)
then factor x² + 2x + 1 to (x + 1)(x + 1)
= 2x (x + 1)(x + 1)
refining the equation
= 2x (x + 1)²
How can i get the number 4 using 6 number 3's?
you can use addition, subtraction, multiplication, division and ( )
Answer:
(3+3)÷3+(3+3)÷3
=6÷3+ 6÷3
=2+2
=4
is correct answer
hope it helped you:)
16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000
Answer:
$61
Step-by-step explanation:
Given
Number of days, x = 5
Expenditure per day, E'(x) = 10x + 11
Required
Determine the expenditure per day (E'(x))
From the question, we have that
[tex]E'(x) = 10x + 11[/tex]
Substitute 5 for x
[tex]E'(5) = 10 * 5 + 11[/tex]
[tex]E'(5) = 50 + 11[/tex]
[tex]E'(5) = 61[/tex]
Hence, the expenditure for 5 days is $61
The cost of completing the job in 5 days will be 61 hundred dollars.
Given information:
A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by [tex]E'(x) = 10x + 11[/tex], where x is the number of days since the start of the job.
Now, the job is done for 5 days.
So, the expenditure if the job takes 5 days can be calculated as,
[tex]E'(x) = 10x + 11\\E'(5) = 10\times 5 + 11\\E'(5)=50+11\\E'(5)=61[/tex]
Therefore, the cost of completing the job in 5 days will be 61 hundred dollars.
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Question 4
Select all of the set to which the number belongs.
0
Natura Numharc
Answer:
0 is a:
Rational Number
Integer
Whole Number
Step-by-step explanation:
Answer:
0 is a:
Rational Number
Integer
Whole Number
Step-by-step explanation:
For data at the interval level you cannot calculate meaningful differences between data entries.
a. True
b. False
Answer: A. FALSE
Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels
17 = 4(s-14) - -5 Solve for s S= ?
Answer:
s = 17
Step-by-step explanation:
17 = 4(s - 14) - (-5)
distribute the 4
17 = 4s - 56 - (-5)
combine like terms
17 = 4s - 56 + 5
17 = 4s - 51
add 51 to both sides
68 = 4s
divide by 4
68/4 = 17
s = 17
Simplify. Please Someone answer ASAP!!
7
х
3
х
Answer:
[tex]x^{4}[/tex]
Step-by-step explanation:
A dot-com company’s CEO is worried that the employees feel over-worked. She waits till 7 p.m. one night and proceeds to briefly interview each employee still there to see whether they feel she is overworking them. What problems are there with this approach?
Answer:
Time wastage and not formal enough
Step-by-step explanation:
He didn't have to wait till that time to ask the the question, besides keeping them there will cause uneasiness between the workers because it's already late.
Another point is that some people might not decided to give him the reply face to face, as they night sound rude or something more than that.
A more formal approach and less time consuming and less stressful method like may be filling of forms, papers , or complaint letters should be used instead.
Graph the parabola y=-3x^2+24x-42
Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 14 and x = 4 when z= 3
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
====================================
Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
----------------
Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
What is the answer to this?
Multiply
1/4 x -2=
Answer:
-0.5
Step-by-step explanation:
Answer:
−8x+1 / 4x
Step-by-step explanation:
Solve for x -12=12x+36
Answer:
Step-by-step explanation:
12x-x=-36-12
----->11x=-48
------>x=-48/11
Answer:
x=4.37 This very easy and good question
Which figure represents an undefined term?
Answer:
The last figure, line XY.
Step-by-step explanation:
The 4th figure represents a line.
A line is an undefined term in Geometry.
ASAP What is the volume of a sphere, to the nearest cubic inch, if the radius equals 3 inches? Use π = 3.14. A. 101 in³ B. 210 in³ C. not given D. 96 in³
Answer: C. not given
Step-by-step explanation:
formula for volume of sphere: V=(4/3)πr³
V=(4/3)πr³
V=(4/3)(3.14)(3)³
V=(4/3)(3.14)(27)
V=113 in³
Answer:
C. Not given
V≈ 113 in³
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
[tex]V= \frac{4}{3} \pi r^3[/tex]
We know the radius is 3 inches and we are using 3.14 for pi. Therefore, we can substitute [tex]3 in[/tex] in for [tex]r[/tex] and [tex]3.14[/tex] in for [tex]\pi[/tex]
[tex]V= \frac{4}{3} *3.14* (3 in)^3[/tex]
Evaluate the exponent first.
(3 in)³= 3 in * 3 in * 3 in = 9 in² * 3 in = 27 in³
[tex]V= \frac{4}{3} *3.14* 27 in^3[/tex]
Multiply 3.14 and 27 in³
[tex]V= \frac{4}{3} * 84.78 in^3[/tex]
Multiply 4/3 and 84.78 in³
[tex]V= 113.04 in^3[/tex]
Round to the nearest cubic inch. The 0 in the tenth place tells us to leave the 113 as is.
[tex]V= \approx 113 in^3[/tex]
Since 113 cubic inches is not an answer choice given, the correct answer is C. not given
which term best describes a proof in wich you assume the opposite of what you want to prove
Answer:
It's called the reasoning by the absurd.
Please answer? help me!
Reposting
Answer:
151 degrees
Step-by-step explanation:
the angle alternate to 50 degrees is also 50 degrees
now, we have 2 angles inside our triangle, we can use the angle sum property to find the third one, which is forming a linear pair with the angle 'x'
so, 29 + x = 180 (linear pair)
hence, x = 151 degrees
A machine cuts 1 & 1/3 Foot long strips of wire. If an 18ft long wire is put into the machine. How many pieces can be cut from the big wire
Answer:
17 and 5
Step-by-step explanation:
A proposed design for a habitable Mars colony is a hemispherical
biodome used to maintain a breathable atmosphere for the colonists.
Estimate the radius of the biodome if it is required to contain 5.5
billion cubic feet of air.
Answer:
r = 1.37 billion feet
Step-by-step explanation:
It is given that,
A proposed design for a habitable Mars colony is a hemispherical biodome used to maintain a breathable atmosphere for the colonists.
The volume of biodome is 5.5 billion cubic feet of air.
It is in the shape of a hemisphere. The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex], r = radius
V = 5.5 billion cubic feet
[tex]r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}[/tex]
So, the radius of the biodome is 1.37 billion feet.
The radius of the biodome if it is required to contain 5.5 billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.
Given :
A proposed design for a habitable Mars colony is a hemispherical biodome used to maintain a breathable atmosphere for the colonists.Volume of the biodome is 5.5 billion cubic feet.The following steps can be used in order to determine the radius of the biodome:
Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.
Step 2 - Formula of the volume of the hemisphere is given by:
[tex]\rm V =\dfrac{2}{3}\pi r^3[/tex]
where r is the radius of the hemisphere.
Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.
[tex]\rm 5.5=\dfrac{2}{3}\pi r^3[/tex]
Step 4 - Simplify the above expression.
[tex]r^3=\dfrac{5.5\times 3}{2\pi}[/tex]
[tex]r = \sqrt[3]{\dfrac{16.5}{2\pi}}[/tex]
r = 1.38 billion feet
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Simplify the following expression.
Be sure to follow the correct oder of operations.
23.3 + 5.4 x 15.75
Answer:
108.35
Step-by-step explanation:
Order of Operations: PEMDAS
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, multiply 5.4 with 15.75:
5.4 x 15.75 = 85.05
Next, add:
85.05 + 23.3 = 108.35
108.35 is your answer.
~
Answer:
108.35Step-by-step explanation:
[tex]23.3+5.4\cdot \:15.75\\\\\mathrm{Multiply\:the\:numbers:}\:5.4\cdot \:15.75=85.05\\=23.3+85.05\\\\\mathrm{Add\:the\:numbers:}\\:23.3+85.05=108.35[/tex]
1732.2097 has
significant figures.
Answer:
1732.2097 has 8 significant figures.
Step-by-step explanation:
Every non-zero digit is considered a significant number. Also, in some exceptional cases, zero can also be considered a significant figure if it is in the middle of two non-zero digits.
Just like in the number given, 1732.2097. We have 7 non-zero digits which certainly would be considered to be significant figures. Zero is between two significant figures, 2 and 9, therefore, it would also be referred to as a significant figure.
Therefore, the number, 1732.2097, has 8 significant figures.
Given the diagram above, m∠Z is:
Answer:
120 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a quadrilateral is 360 deg.
2t + 2t + t + t = 360
6t = 360
t = 60
m<Z = 2t = 2(60) = 120
Answer: 120 deg
...............................
Answer:
Where's the question that you want to be solved?
Question Find the product of your age and the number of pets you have.
I am 9 years old and I have 2 pets
Answer:
18
Step-by-step explanation:
What you would do is becouse is says Product.
product mean the result of multiplication
so all you would do is just multiply 9 by 2 and your answer would be 18.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of your age and the number of pets you have is 18.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that you are 9 years old, also, you have two pets. Therefore, the product of your age and the number of pets you have is,
Product = your age x Number of pets you have
= 9 x 2
= 18
Hence, the product of your age and the number of pets you have is 18.
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